1.

Record Nr.

UNINA9910488693003321

Autore

Schedel Anja

Titolo

Cost sharing, capacity investment and pricing in networks / / Anja Schedel

Pubbl/distr/stampa

Wiesbaden, Germany : , : Springer Spektrum, , [2021]

©2021

ISBN

3-658-33170-4

Descrizione fisica

1 online resource (241 pages)

Collana

Mathematische Optimierung und Wirtschaftsmathematik

Disciplina

332.415

Soggetti

Pricing - Mathematical models

Preus

Models matemàtics

Comptabilitat de costos

Teoria de jocs

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Intro -- Acknowledgements -- Contents -- 1 Introduction -- [DELETE] -- 1.1 Cost Sharing in Networks -- 1.2 Capacity and Price Competition in Networks -- 1.3 Thesis Organization -- 2 Preliminaries -- [DELETE] -- 2.1 Graphs -- 2.2 Games -- 2.3 Correspondences -- 3 Cost Sharing in Networks -- 3.1 Introduction -- 3.1.1 Problem Description -- 3.1.2 Main Results and Proof Techniques -- 3.1.3 Discussion of the Model and Related Work -- 3.2 An LP-Characterization of Enforceability -- 3.3 Results for Two Player Games -- 3.3.1 Connection to Steiner forests -- 3.3.2 The Set of Bad Configurations and some Intuition -- 3.3.3 Proof Sketch of Theorem[theoremrobust]3.3.1 -- 3.3.4 ([Thm3.3.1.3]3) implies ([Thm3.3.1.1]1) of Theorem[theoremrobust]3.3.1 -- 3.3.5 ([Thm3.3.1.1]1) implies ([Thm3.3.1.2]2) of Theorem[theoremrobust]3.3.1 -- 3.3.6 Discussion of the Result -- 3.4 Results for n-Player Games -- 3.4.1 The Algorithm n-SePa -- 3.4.2 Analysis of Algorithm n-SePa -- 3.4.3 Main Results -- 3.4.4 Discussion of the Results -- 3.5 Bibliographic Notes -- 4 Capacity and Price Competition in Networks -- 4.1 Introduction -- 4.1.1 Problem Description -- 4.1.2 Main Results



and Proof Techniques -- 4.1.3 Discussion of the Model and Related Work -- 4.2 Continuity of Profit Functions -- 4.3 Characterization of Best Responses -- 4.3.1 The Case z-i=0 -- 4.3.2 The Case z-ineq0 -- 4.3.3 The Characterization -- 4.3.4 Discussion -- 4.4 Existence of Equilibria -- 4.5 Uniqueness of Equilibria -- 4.6 Quality of Equilibria -- 4.7 Bibliographic Notes -- 5 Conclusion -- [DELETE] -- Bibliography -- Bibliography.